Abstract
Coincidence intensities of the cascade decay 3 1D → 2 1P → 1 1S of helium excited by electron impact are computed using the symbolic manipulation package Mathematica. The formulation requires the calculation of a few thousand Clebsch-Gordan coefficients and rotation matrices, which would be extremely tedious to carry out by hand. A scheme is presented as an illustrative example of a lengthy and cumbersome calculation handled by Mathematica with ease.
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